12557861064 has 192 divisors, whose sum is σ = 40991184000. Its totient is φ = 3392824320.

The previous prime is 12557861059. The next prime is 12557861081. The reversal of 12557861064 is 46016875521.

12557861064 is a `hidden beast` number, since 1 + 2 + 5 + 578 + 6 + 10 + 64 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7746174 + ... + 7747794.

It is an arithmetic number, because the mean of its divisors is an integer number (213495750).

Almost surely, 2^12557861064 is an apocalyptic number.

12557861064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12557861064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20495592000).

12557861064 is an abundant number, since it is smaller than the sum of its proper divisors (28433322936).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12557861064 is a wasteful number, since it uses less digits than its factorization.

12557861064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2468 (or 2461 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 12557861064 in words is "twelve billion, five hundred fifty-seven million, eight hundred sixty-one thousand, sixty-four".